Question

Alexa and Raymond spent the same amount ofmoney at the art store. Alexa bought a paintbrushfor $8 and 4 jars of paint. Raymond bought apaintbrush for $5 and 6 jars of paint. Each jar ofpaint that Alexa and Raymond bought cost thesame amount.What is the x-variable? And what are the 2 y-variable equations?

Answer 1

Alexa and Raymond spent the same amount of money at the art store.

Alexa bought a paint brush for $8 and 4 jars of pant.

Raymond bought a paintbrush for $5 and 6 jars of paint

Let the cost of each jar of paint be x

For Alexa,

Since, she bought a paintbrush for $8 and 4 jars of paint

Total cost = y

Total cost = cost of paint brush + number of jars of paint x cost of each jar of paint

Since the cost of each jar of paint = x

total cost = 8 + 4 * x

y = 4x + 8----------- Alexa total cost equation

For Raymond,

He bought a paint brush for $5 and 6 jars of paint

Since, the cost of each jar of paint = x

Total cost = y

y = 6 * x + 5

y = 6x + 5 ---------- Raymond equation

The x - variable is the cost of each jar of paints